What is the 9720th prime number?
The 9720th prime number is 101501. The next prime is 101503 (a gap of 2) and the one before is 101489.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9720th one is 101501.
- 2
101501 is prime because no prime up to ā101501 ā 318.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9720th prime is close to 9720 Ć ln(9720) ā 89248, and here it is 101501.
- 4
101501 is a twin prime: 101501 and 101503 are both prime.
Primes around the 9720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9717 | 101477 | 10 |
| 9718 | 101483 | 6 |
| 9719 | 101489 | 6 |
| 9720 | 101501 | 12 |
| 9721 | 101503 | 2 |
| 9722 | 101513 | 10 |
| 9723 | 101527 | 14 |
Questions
What is the 9720th prime number?
101501.
Which prime number is 101501?
101501 is the 9720th prime number.
What is the sum of the first 9720 primes?
467,296,279.